16edo: Difference between revisions

Wikispaces>TallKite
**Imported revision 599358390 - Original comment: **
Wikispaces>TallKite
**Imported revision 599358854 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-14 02:36:35 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-14 02:39:10 UTC</tt>.<br>
: The original revision id was <tt>599358390</tt>.<br>
: The original revision id was <tt>599358854</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is higher pitched than the latter:
16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the __melodic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is higher pitched than the latter:


D * E * * F * G * A * B * * C * D
D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D
P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8
||= D ||=  ||= E ||=  ||=  ||= F ||=  ||= G ||=  ||= A ||=  ||= B ||=  ||=  ||= C ||=  ||= D ||
||= D ||=  ||= E ||=  ||=  ||= F ||=  ||= G ||=  ||= A ||=  ||= B ||=  ||=  ||= C ||=  ||= D ||
|| __D__ || D#/Eb || __E__ || _E#_ || _Fb_ || __F__ || F#/Gb || __G__ || G#/Ab || __A__ || A#/Bb || __B__ || _B#_ || _Cb_ || __C__ || C#/Db || __D__ ||
|| __D__ || D#/Eb || __E__ || _E#_ || _Fb_ || __F__ || F#/Gb || __G__ || G#/Ab || __A__ || A#/Bb || __B__ || _B#_ || _Cb_ || __C__ || C#/Db || __D__ ||
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The second approach is to preserve the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is further fifthwards on the chain of fifths than the latter:
The second approach is to preserve the __harmonic__ meaning of sharp/flat, major/minor and aug/dim, in that the former is further fifthwards on the chain of fifths than the latter:


||   ||  ||   ||  ||  ||   ||  ||   ||  ||   ||  ||   ||  ||  ||   ||  ||   ||
||= D ||=   ||= E ||=   ||=   ||= F ||=   ||= G ||=   ||= A ||=   ||= B ||=   ||=   ||= C ||=   ||= D ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
|| __D__ || Db/E# || __E__ || _Eb_ || _F#_ || __F__ || Fb/G# || __G__ || Gb/A# || __A__ || Ab/B# || __B__ || _Bb_ || _C#_ || __C__ || Cb/D# || __D__ ||
||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||   ||
||= P1 ||= d1/dA2 ||= M2 ||= M2 ||= m3 ||= M3 ||= A3/d4 ||= P4 ||= A4/d5 ||= P5 ||= A5/d6 ||= m6 ||= M6 ||= m7 ||= M7 ||= A7/d8 ||= P8 ||
 


16-EDO notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to A-G. Armodue of Italy uses a 4-line staff for 16-EDO.
16-EDO notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to A-G. Armodue of Italy uses a 4-line staff for 16-EDO.
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16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the &lt;u&gt;melodic&lt;/u&gt; meaning of sharp/flat, major/minor and aug/dim, in that the former is higher pitched than the latter:&lt;br /&gt;
16edo can be notated with conventional notation, including the staff, note names, chord names, relative notation, etc. in two ways. The first preserves the &lt;u&gt;melodic&lt;/u&gt; meaning of sharp/flat, major/minor and aug/dim, in that the former is higher pitched than the latter:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
D * E * * F * G * A * B * * C * D&lt;br /&gt;
D - D#/Eb - E - E# - Fb - F - F#/Gb - G - G#/Ab - A - A#/Bb - B - B# - Cb - C - C#/Db - D&lt;br /&gt;
P1 - A1/d2 - m2 - M2 - m3 - M3 - A3/d4 - P4 - A4/d5 - P5 - A5/d6 - m6 - M6 - m7 - M7 - A7/d8 - P8&lt;br /&gt;




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         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
&lt;/td&gt;
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         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;D&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Db/E#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;E&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;_Eb_&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;_F#_&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;F&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Fb/G#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;G&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Gb/A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;A&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Ab/B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;B&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;_Bb_&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;_C#_&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;C&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;Cb/D#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;u&gt;D&lt;/u&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;d1/dA2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
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&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A3/d4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A4/d5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A5/d6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A7/d8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
16-EDO notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to A-G. Armodue of Italy uses a 4-line staff for 16-EDO.&lt;br /&gt;
16-EDO notation can be easy utilizing Goldsmith's Circle of keys, nominals, and respective notation. The nominals for a 6 line staff can be switched for Wilson's Beta and Epsilon additions to A-G. Armodue of Italy uses a 4-line staff for 16-EDO.&lt;br /&gt;